Question

An equation is shown below:

2x + y = 3

Part A: Explain how you will show all of the solutions that satisfy this equation. (4 points)

Part B: Determine three different solutions for this equation. (4 points)

Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent. (2 points)

Answer 1

@campbell_st

Answer 2

@StudyGurl14 @myininaya

Answer 3

@KlOwNlOvE

Answer 4

part A ... graph the line... which shows all ordered pairs that form the line

or rewrite the line in slope intercept form

part B substitute 3 values of x to find 3 values of y... say, x = 0, x = 1, x = 2

hope that helps

Answer 5

what do you mean rewrite the line in slope intercept form rewrite the equations?

Answer 6

i need help on part c @campbell_st

Answer 7

@AriPotta

Answer 8

I mean make y the subject of the equation

slope intercept form is

y = mx + b m = slope b = y-intercept

Answer 9

okay but i did that so i need help on part 3 now

Answer 10

Ari can you help

Answer 11

make a line the is parallel to the given line

Answer 12

y=2x-3

Answer 13

ok... so what is the slope of your line...?

Answer 14

2

Answer 15

but once you convert 2x + y = 3 into slope-intercept form, is y = -2x + 3 not y-= 2x - 3

Answer 16

not y = 2x - 3*

Answer 17

oh okay so then what

Answer 18

so parallel lines have the same slope, but different y-intercepts. so just change - 3 to something else and put it in standard form

Answer 19

wait what do you mean

Answer 20

so it could be y=-2x+2?

Answer 21

yea that could work. put it in standard form and maybe multiply the whole equation by like 3 or something to change it up a bit

Answer 22

so now it would be 2x+y=3 and
2x+4=3?

Answer 23

2x + y = 3 and 2x + y = 2

Answer 24

okay thanks!

Answer 25

no problemo :)